Caden bought 4 times as many candy canes as caramel bars. The total mass of candy canes and caramel bars was 1320 g. The mass of caramel bars was 240 g less than that of the candy canes. The mass of 1 caramel bar was 69 g heavier than 1 candy cane.
- Find the number of caramel bars that Caden bought.
- Find the mass of 1 candy cane.
|
Candy Canes |
Caramel Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 69 |
|
Total value |
780 g |
540 g |
1320 g |
(a)
Mass of caramel bars = 1 set
Mass of candy canes = 4 sets
Mass of caramel bars = (1320 - 240) ÷ 2 = 540 g
Mass of candy canes = 540 + 240 = 780 g
Mass of 1 set of caramel bars = 540 g
Mass of 1 set of candy canes = 780 ÷ 4 = 195 g
Difference in the mass between 1 set of caramel bars and 1 set of candy canes
= 540 - 195
= 345 g
Number of items in each set
= 345 ÷ 69
= 5
Number of caramel bars
= 1 x 5
= 5
(b)
Mass of 1 caramel bar
= 540 ÷ 5
= 108 g
Mass of 1 candy cane
= 108 - 69
= 39 g
Answer(s): (a) 5; (b) 39 g